Harmonic generations

In the context of discussion of the Raman effect, Equation (5.43) relates the oscillating electric field E of the incident radiation, the induced electric dipole fi and the polarizability a by [Pg.345]

In fact, this equation is only approximate and (i should really be expressed as a power series in E [Pg.345]

Question. Show that the third term in Equation (9.11) results in the generation of radiation of frequency 3v when radiation of frequency v is incident on a crystal capable of third harmonic generation. [Pg.345]

Answer. The third term in equation (9.11) involves the cube of the oscillating electric field which (cf. Equation 9.13) is given by [Pg.345]

Because the second term in the brackets contains 3v in the sine function, radiation at a frequency which is three times that of the incident radiation is generated. This is referred to as third harmonic generation. The first term in brackets indicates that some radiation of unchanged frequency also results. [Pg.346]

Optical second-harmonic generation (SHG) has recently emerged as a powerful surface probe [95, 96]. Second harmonic generation has long been used to produce frequency doublers from noncentrosymmetric crystals. As a surface probe, SHG can be caused by the break in symmetry at the interface between two centrosymmetric media. A high-powered pulsed laser is focused at an angle of incidence from 30 to 70° onto the sample at a power density of 10 to 10 W/cm. The harmonic is observed in reflection or transmission at twice the incident frequency with a photomultiplier tube. [Pg.311]

SHG Optical second-harmonic generation [95, 96] A high-powered pulsed laser generates frequency-doubled response due to the asymmetry of the interface Adsorption and surface coverage rapid surface changes... [Pg.318]

Richmond G L, Robinson J M and Shannon V L 1988 Second harmonic generation studies of interfacial structure and dynamics Prog. Surf. Sc/. 28 1-70... [Pg.1300]

Shen Y R 1989 Optical second harmonic-generation at interfaces Ann. Rev. Phys. Chem. 40 327-50... [Pg.1300]

Corn R M and Higgins D A 1994 Optical second-harmonic generation as a probe of surface-chemistry Chem. Rev. 94 107-25... [Pg.1300]

Brevet P F 1997 Surface Second Harmonic Generation (Lausanne Presses Polyteohniques et Universitaires Romandes)... [Pg.1301]

Keller G 1986 Random-phase-approximation study of the response function describing optical second-harmonic generation from a metal selvedge Rhys. Rev. B 33 990-1009... [Pg.1301]

Schaich W L 2000 Calculations of second-harmonic generation for a ]ellium metal surface Phys. Rev. B 61 10 478-83... [Pg.1302]

Ghahramani E, Moss D J and Sipe J E 1990 Second-harmonic generation in odd-period, strained, (Si)y(Ge) Si superlattices and at Si/Ge interfaces Phys. Rev. Lett. 64 2815-18... [Pg.1302]

Mendoza B S, Gaggiotti A and Del Sole R 1998 Microscopic theory of second harmonic generation at Si(IOO) surfaces Phys. Rev. Lett. 81 3781-4... [Pg.1302]

Dadap J I, Hu X F, Russell N M, Ekerdt J G, Lowell J Kand Downer M C 1995 Analysis of second-harmonic generation by unamplified, high-repetition-rate, ultrashort laser pulses at Si(OOI) interfaces/ J. Selected Topics Quantum Electron 1 1145-55... [Pg.1302]

Heinz T F, Tom H W K and Shen Y R 1983 Determination of molecular orientation of monolayer adsorbates by optical second-harmonic generation Phys. Rev. A 28 1883-5... [Pg.1302]

Sipe J E, Moss D J and van Driel H M 1987 Phenomenological theory of optical second- and third-harmonic generation from cubic centrosymmetric crystals Phys. Rev. B 35 1129-41... [Pg.1302]

Petraiii-Maiiow T, Wong T M, Byers J D, Yee H i and Hicks J M 1993 Circuiar dichroism spectroscopy at interfaces—a surface second harmonic-generation study J. Phys. Chem. 97 1383-8... [Pg.1303]

Sitzmann E V and Eisenthal K B 1988 Picosecond dynamics of a chemical-reaction at the air-water interface studied by surface second-harmonic generation J. Phys. Chem. 92 4579-80... [Pg.1304]

Lantz J M and Corn R M 1994 Time-resolved optical second harmonic generation measurements of picosecond band flattening processes at single crystal TiO, electrodes J. Phys. Chem. 98 9387-90... [Pg.1304]

Boyd G T, Shen Y R and Hansch T W 1986 Continuous-wave second-harmonic generation as a surface microprobe Opt. Lett. 11 97-9... [Pg.1304]

Dadap J I, Shan J, Weling A S, Misewich J A, Nahata A and Heinz T F 1999 Measurement of the vector character of electric fields by optical second-harmonic generation Opt. Lett. 24 1059-61... [Pg.1304]

Zhu X D, Rasing T H and Shen Y R 1988 Surface diffusion of CO on Ni(111) studied by diffraction of optical second-harmonic generation off a monolayer grating Phys. Rev. Lett. 61 2883-5... [Pg.1304]

Terhune R W, Maker P D and Savage C M 1962 Optical harmonic generation in calcite Phys. Rev. Lett. 8 404... [Pg.1304]

Aktsipetrov O A, Fedyanin A A, Golovkina V N and Murzina T V 1994 Optical second-harmonic generation... [Pg.1304]

Nahata A, Heinz T F and Misewich J A 1996 High-speed electrical sampling using optical second-harmonic generation Appl. Phys. Lett. 69 746-8... [Pg.1305]

Ohihoff C, Lupke G, Meyer C and Kurz H 1997 Static and high-frequency electric fields in silicon MOS and MS structures probed by optical second-harmonic generation Phys. Rev. B 55 4596-606... [Pg.1305]

Reif J, Zink J C, Schneider C-M and Kirschner J 1991 Effects of surface magnetism on optical second harmonic generation Phys. Rev. Lett. 67 2878-81... [Pg.1305]

Spierings G, Koutsos V, Wierenga H A, Prins M W J, Abraham D and Rasing Th 1993 Optical second harmonic generation study of interface magnetism Surf. Sc/. 287-8 747-9... [Pg.1305]

Vollmer R 1998 Magnetization-induced second harmonic generation from surfaces and ultrathin films Nonlinear Optics in Metals e6 K H Bennemann (Oxford Clarendon) pp 42-131... [Pg.1305]

Wang H, Yan E C Y, Borguet E and Eisenthal K B 1996 Second harmonic generation from the surface of centrosymmetric particles in bulk solution Chem. Phys. Lett. 259 15-20... [Pg.1305]

Campagnola P J, Wei M D, Lewis A and Loew L M 1999 High-resolution nonlinear optical imaging of live cells by second harmonic generation Biophys. J. 77 3341-9... [Pg.1305]

DeLong K W, Trebino R, Hunter J and White W E 1994 Frequency-resolved optical gating with the use of second-harmonic generation J. Opt. Soc. Am. B 11 2206-15... [Pg.1994]

Leigh D A, Moody A E, Wade F A, King T A, West D and Bahra G S 1995 Second harmonic generation from Langmuir-Blodgett films of fullerene-aza-crown ethers and their potassium ion complexes Langmuir 11 2334-6... [Pg.2430]

Shi Z, Lipkowski J, Mirwald S and Pettinger B 1996 Electrochemical and second harmonic generation study of bromide adsorption at the Au(111) surface J. Chem. See. Faraday Trans. 92 3737-46... [Pg.2756]

See also in sourсe #XX -- [ Pg.345 , Pg.350 , Pg.362 ]

See also in sourсe #XX -- [ Pg.37 , Pg.38 , Pg.41 ]

See also in sourсe #XX -- [ Pg.161 ]

See also in sourсe #XX -- [ Pg.345 , Pg.350 , Pg.362 ]

See also in sourсe #XX -- [ Pg.2 , Pg.168 ]

See also in sourсe #XX -- [ Pg.49 ]

See also in sourсe #XX -- [ Pg.43 , Pg.67 ]

See also in sourсe #XX -- [ Pg.9 , Pg.10 ]

See also in sourсe #XX -- [ Pg.144 ]

See also in sourсe #XX -- [ Pg.136 ]

See also in sourсe #XX -- [ Pg.343 ]

Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...